VARIANTS OF MIYACHI’S THEOREM FOR NILPOTENT LIE GROUPS-Reference-Cited by-同舟云学术

VARIANTS OF MIYACHI’S THEOREM FOR NILPOTENT LIE GROUPS

Published:2010-01-19 Issue:1 Volume:88 Page:1-17
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

BAKLOUTI ALI,THANGAVELU SUNDARAM

Abstract

AbstractWe formulate and prove two versions of Miyachi’s theorem for connected, simply connected nilpotent Lie groups. This allows us to prove the sharpness of the constant 1/4 in the theorems of Hardy and of Cowling and Price for any nilpotent Lie group. These theorems are proved using a variant of Miyachi’s theorem for the group Fourier transform.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference14 articles.

1. The Lp –Lq version of Hardy's Theorem on nilpotent Lie groups

2. Variations on a theorem of Cowling and Price with applications to nilpotent Lie groups

3. On Hardy’s uncertainty principle for connected nilpotent Lie groups

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